Positivity and Hoop Properties for Chen-Nester-Tung Quasi-local Energy with Analytic Reference in Spherical Symmetry

TL;DR

This paper proves the positivity of Chen-Nester-Tung quasi-local energy in spherical symmetry, establishes a hoop-type theorem, and discusses its relation to Brown-York energy, advancing understanding of quasi-local energy in general relativity.

Contribution

It provides the first direct proof of positivity for Chen-Nester-Tung quasi-local energy with analytic reference in spherical symmetry and introduces a hoop-type theorem.

Findings

Proved positivity of Chen-Nester-Tung quasi-local energy in spherical symmetry.

Established a hoop-type theorem for this energy.

Discussed the relation between Chen-Nester-Tung and Brown-York energies.

Abstract

We provide a direct proof for the positivity of Chen-Nester-Tung quasi-local energy with analytic reference in spherical symmetry. A hoop-type theorem for this energy is also established. Finally, the relation between Chen-Nester-Tung and Brown-York quasi-local energies will be discussed.